Airline companies raise and lower their ticket prices based on the supply and demand. Due to high numbers of fliers, one company decided to raise their ticket price for a first-class ticket to $192.50, which represents a 10% price increase.How much did the first-class tickets cost before the price increase?

Answers

Answer 1

Answer: The raised price represents 110% of the original price (100% plus the extra 10%)

A percentage is converted into a decimal multiplier by dividing by 100:
$(110)/(100) = 1.10$

To clarify the final stage, consider this (where $n$ is the original price):
$n * 1.10 = 192.50$
$1.10n = 192.50$

From here, basic algebraic rules make solving for $n$ easy:
$n = (192.50)/(1.10) = 175$

Therefore the original price of a ticket was $175

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Find the solution to the system of equations.

y= 2x + 3

y= -3x + 3

Answers

Answer:

(0, 3 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = - 3x + 3 → (2)

Since both equations express y in terms of x we can equate them, that is

2x + 3 = - 3x + 3 ( add 3x to both sides )

5x + 3 = 3 ( subtract 3 from both sides )

5x = 0 ⇒ x = 0

Substitute x = 0 into (1)

y = 0 + 3 = 3

Solution is (0, 3 )

Helpp!! :Edith babysits for x hours a week after school at a job that pays $4 an hour. She has accepted a job that pays $7 an hour as a library assistantworking y hours a week. She will work both jobs. She is able to work no more than 16 hours a week, due to school commitments. Edith wants to earn at least $80 a week, working a combination of both jobs.
write an inequality to represent this

Answers

x + y ≤ 16
4x + 7y ≥ 80

Please help! And get it right I hope!

Answers

1. 56
2. 10
3. 16
4. 2
5. 12

What's my number?Clue 1: my number is a multiple of 5 and is less than 50
Clue 2: my number is a multiple of 3.
Clue3:my number is exactly 8 factors

Answers

Your answer is 30.
Its a multiple of ten, less than 50, multiple of 3, exactly 8 factors.

From Clue 1: Number is 5 , 10 , 15, 20, 25, 30, 35, 40, or 45. Since it is less than 50.

From Clue 2: Multiple of 3: 15 or 30 or 45 is a multiple of 3. So it is 15 or 45.

From Clue 3:

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30.

The number is 30 base on the clues.

I hope this helps.

Find the distance (-4,5) and (7,18)

Answers

Answer:

$√(290)\ units$

Step-by-step explanation:

The distance between points $(x_1,y_1)$ and $(x_2,y_2)$ is

$√((x_1-x_2)^2+(y_1-y_2)^2)$

Hence, the distance between points $(-4,5)$ and $(7,18)$ is

$√((-4-7)^2+(5-18)^2)\n \n=√((-11)^2+(-13)^2)\n \n=√(121+169)\n \n=√(290)\ units$

in 2001 the population in a town was 9% more than it was in 2000. if the population was 25,830 in 2002, which was 10% more than 2001, find the population in 2000

Answers

Answer:1800

Step-by-step explanation: 2000•.9=1800

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